COMMENT: Comment on 'Exact analytical solution for the generalized Lyapunov exponent of the two-dimensional Anderson localization'
In a recent publication, Kuzovkov et al (2002 J. Phys.: Condens. Matter. 14 13777) announced an analytical solution of the two-dimensional Anderson localization problem via the calculation of a generalized Lyapunov exponent using signal theory. Surprisingly, for certain energies and small disorder strength they observed delocalized states. We study the transmission properties of the same model using well-known transfer matrix methods. Our results disagree with the findings obtained using signal theory. We point to the possible origin of this discrepancy and comment on the general strategy of using a generalized Lyapunov exponent for studying Anderson localization.
Journal of Physics Condensed Matter
- Pub Date:
- March 2004
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- 4 pages, accepted for publication in J. Phys.: Condens. Matt